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431 lines
4.2 KiB
Plaintext
431 lines
4.2 KiB
Plaintext
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#Life 1.05
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#D Hacksaw (orthogonal sawtooth with expansion factor 9)
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#D Population is unbounded but does not tend to infinity. Its graph is a
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#D sawtooth function with ever-increasing teeth. More specifically, the
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#D population in generation t = 385*9^n - 189 (n>=1), is t/4 + 1079, but the
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#D population in generation 1155*9^n - 179 (n>=0) is only 977.
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#D
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#D The pattern consists of two parts, a stationary shotgun and a set
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#D of puffers moving east. The shotgun produces, and usually destroys, a salvo
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#D consisting of a MWSS and 2 LWSSs. The moving part consists of a period 8
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#D blinker puffer (found by Bob Wainwright), and two p24 glider puffers, whose
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#D output gliders destroy each other (with help from an accompanying MWSS). In
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#D generation 385*9^n - 189 (n>=1) (and 228 for n=0), a salvo hits the back end
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#D of the row of blinkers, causing it to decay at 2c/3. When the row is
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#D completely gone, a new row starts to form and a spark is produced. The spark
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#D is turned into a glider by an accompanying HWSS; the glider is turned into a
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#D westward LWSS, in generation 1155*9^n - 127 (n>=0), by interaction with the
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#D glider puffers. (This 3 glider synthesis of a LWSS is due to David
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#D Buckingham.) When the LWSS hits the shotgun, in generation 2310*9^n - 184
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#D (n>=0), another salvo is released, starting the cycle again.
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#D
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#D The idea for this sawtooth pattern was suggested by Bill Gosper.
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#D Dean Hickerson, dean@ucdmath.ucdavis.edu 7/8/92
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#N
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#P 82 -28
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....*
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.....*
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*....*
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.*****
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.
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.
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.
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...**
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***.**
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.****
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..**
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#P 77 -19
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***
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#P 79 -15
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.....*
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......*
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*.....*
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.******
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#P 94 8
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...*
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....*
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*...*
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.****
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.
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.
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.
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.****
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*...*
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....*
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...*
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#P 88 12
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..***
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**.**
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..***
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#P 84 14
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***
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#P 80 5
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....**
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****.**
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******
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.****
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#P 80 20
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.******
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*.....*
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......*
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.....*
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#P 71 17
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.**
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****
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**.**
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..**
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.
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.
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.
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..**
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**.**
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****
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.**
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#P 67 21
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..*
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*.*
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..*
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#P 58 12
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.****
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*...*
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....*
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...*
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#P 57 -3
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.....*
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......*
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*.....*
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.******
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#P 34 9
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.*****
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*....*
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.....*
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....*
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#P 60 29
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.******
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*.....*
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......*
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.....*
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#P 76 41
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**
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.*
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#P 65 39
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...*
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..**
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.**
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***
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.**
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..**
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...*
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#P 47 41
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....*
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..*.*
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.*.*
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*..*
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.*.*
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..*.*
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....*
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#P 44 46
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**
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.*
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#P 35 44
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....**
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....*
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.**
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***
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.**
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....*
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....**
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#P 25 42
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*
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*.*
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...**
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...**
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...**
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*.*
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*
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#P 14 44
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**
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*
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#P 35 26
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.**
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*..*
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...*
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...*
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**.*
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.*
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.
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.
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..*
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.**
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#P 37 40
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*
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**
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#P 48 32
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.**
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**
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..*
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#P 52 32
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*..*
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....*
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*...*
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.****
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#P 17 25
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**
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.*
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#P 7 23
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..**
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.*
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*
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*
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*
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.*
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..**
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#P -11 25
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....*
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..*.*
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**
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**
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**
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..*.*
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....*
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#P -22 22
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*
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**
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.**
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.***
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.**
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**
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*
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#P -38 20
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....**
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...***
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*.**
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*..*
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*.**
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...***
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....**
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#P -45 22
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**
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*
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#P -6 21
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.*
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**
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#P -6 7
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.*
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.**
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.
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.*
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*.*
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*..*
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.*..*
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.
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.*
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.**
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#P -13 -11
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.....*
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***.**...*
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****....**
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....**
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#P -19 -6
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..**
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.*.*
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***
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**
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...**
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..***
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.
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.
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...*
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..**
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#P -21 9
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.*
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**
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#P -36 7
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....*
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..*.*
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.*.*
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*..*
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.*.*
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..*.*
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....*
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#P -40 10
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**
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*
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#P -46 5
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...*
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..**
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.**
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***
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.**
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..**
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...*
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#P -55 7
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**
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*
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#P 15 -33
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..**
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..*
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*.*
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**
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#P 14 -44
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.*
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**
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#P 2 -47
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**
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..*
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...*
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...*
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...*
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..*
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**
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#P -1 -46
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*
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**
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#P -9 -49
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*
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*.*
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...**
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...**
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...**
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*.*
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*
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#P -25 -46
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...*
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..**
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.**
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***
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.**
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..**
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...*
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#P -26 -37
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**
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*
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#P -39 -44
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**
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***
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..**.*
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..*..*
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..**.*
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***
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**
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#P -48 -46
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**
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.*
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.*.*
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..**
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#P -45 -37
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**
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*.*
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..*
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..**
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#P -53 -42
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*
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****
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.****
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.*..*
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.****
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****
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*
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#P -69 -44
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...**
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..*.*
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.***
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***
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.***
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..*.*
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...**
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#P -77 -42
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**
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*
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#P -61 -40
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*.*
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**
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.*
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#P -61 -33
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.**.........**
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*..*.......*..*
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***.........***
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...*********
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..*..*****..*
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..**..***..**
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#P -83 -51
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**
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.*
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#P -86 -40
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..***
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.*...*
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*.....*
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.*...*
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..***
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..***
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#P -88 -30
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..***
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.**.**
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.**.**
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.*****
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**...**
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#P -100 -11
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**
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*
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#P -94 -13
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...*.*
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.*...*
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.*
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*
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.*
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.*...*
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...*.*
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#P -77 -11
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**
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*..*
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....*
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....*
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....*
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*..*
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**
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#P -66 -9
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.*
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**
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#P -85 -17
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*
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**
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#P -83 -11
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.**
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*.*
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..*
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#P -24 -13
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**
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.*
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#P -36 -15
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...**
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..*.*
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.***
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***
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.***
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..*.*
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...**
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#P -48 -13
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*
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****
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.****
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.*..*
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.****
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****
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*
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#P -58 -10
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*
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**
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#P -35 -6
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**
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*
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#P -44 -23
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....*
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.....*
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*....*
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.*****
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#P -57 -25
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...*
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....*
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*...*
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.****
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